Provide an appropriate response.
The composition of two functions f and g, written as (f ? g)(x) is defined so that the result of evaluating g(x) is used as the value for x in the function f(x). Given the functions f(x) = 2x + 1 and g(x) =
, evaluate (f ? g)(6).
A. 13
B. 7
C. 4
D. 3
Answer: B
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Express the following using negative exponents.
A. 6-4 B. 4-6 C. 64 D. 6-5
Another way to approximate the value of e is through the sum 1 + +
+
+ .... The notation n! represents n factorial, which is the product of all the integers from 1 through n. The more terms added to the sum, the closer the sum gets to e. In calculus, we say that the limit of this sum is e. Find the sum of the first k terms, rounded to the nearest hundred-thousandth, and determine how close the result is to e rounded to the nearest hundred-thousandth (2.71828).k = 5
terms A. 2.71667, 0.00161 B. 2.70833, 0.00995 C. 2.71828, 0 D. 2.5, 0.21828
Graph the function.f(x) = 3(x + 1)2 - 2
A.
B.
C.
D.
Solve the problem.Find the volume V and surface area S of a sphere of radius 2 centimeters. Express the answer in terms of ?.
A. V = ? cm3; S =
? cm2
B. V = 8? cm3; S = 4? cm2
C. V = ? cm3; S = 16? cm2
D. V = 32? cm3; S = 1? cm2